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Finding the Fourth Proportional to 9,761.40, 14,651.82 and 5,380.92

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Solution

The fourth proportional to 9,761.40, 14,651.82 and 5,380.92 is: 8,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.40 : 14,651.82 = 5,380.92 : x
  2. Step 2: Convert to fraction form
    9,761.40/14,651.82 = 5,380.92/x
  3. Step 3: Cross multiply
    9,761.40x = 14,651.82 × 5,380.92
  4. Step 4: Simplify right side
    9,761.40x = 78,840,271.27
  5. Step 5: Solve for x
    x = 78,840,271.27/9,761.40
  6. Step 6: Final answer
    x = 8,076.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.